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<journal-meta>
<journal-id journal-id-type="publisher-id">Front. Chem.</journal-id>
<journal-title>Frontiers in Chemistry</journal-title>
<abbrev-journal-title abbrev-type="pubmed">Front. Chem.</abbrev-journal-title>
<issn pub-type="epub">2296-2646</issn>
<publisher>
<publisher-name>Frontiers Media S.A.</publisher-name>
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<article-meta>
<article-id pub-id-type="publisher-id">1393860</article-id>
<article-id pub-id-type="doi">10.3389/fchem.2024.1393860</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Chemistry</subject>
<subj-group>
<subject>Original Research</subject>
</subj-group>
</subj-group>
</article-categories>
<title-group>
<article-title>Selective glucose electro-oxidation catalyzed by TEMPO on graphite felt</article-title>
<alt-title alt-title-type="left-running-head">Ginoux et al.</alt-title>
<alt-title alt-title-type="right-running-head">
<ext-link ext-link-type="uri" xlink:href="https://doi.org/10.3389/fchem.2024.1393860">10.3389/fchem.2024.1393860</ext-link>
</alt-title>
</title-group>
<contrib-group>
<contrib contrib-type="author">
<name>
<surname>Ginoux</surname>
<given-names>Erwann</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<uri xlink:href="https://loop.frontiersin.org/people/2669985/overview"/>
<role content-type="https://credit.niso.org/contributor-roles/investigation/"/>
<role content-type="https://credit.niso.org/contributor-roles/visualization/"/>
<role content-type="https://credit.niso.org/contributor-roles/writing-original-draft/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Rafa&#xef;deen</surname>
<given-names>Thibault</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Cognet</surname>
<given-names>Patrick</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/funding-acquisition/"/>
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<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author">
<name>
<surname>Latapie</surname>
<given-names>Laure</given-names>
</name>
<xref ref-type="aff" rid="aff1">
<sup>1</sup>
</xref>
<role content-type="https://credit.niso.org/contributor-roles/supervision/"/>
<role content-type="https://credit.niso.org/contributor-roles/Writing - review &#x26; editing/"/>
</contrib>
<contrib contrib-type="author" corresp="yes">
<name>
<surname>Coutanceau</surname>
<given-names>Christophe</given-names>
</name>
<xref ref-type="aff" rid="aff2">
<sup>2</sup>
</xref>
<xref ref-type="corresp" rid="c001">&#x2a;</xref>
<uri xlink:href="https://loop.frontiersin.org/people/647083/overview"/>
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<aff id="aff1">
<sup>1</sup>
<institution>Laboratoire de G&#xe9;nie Chimique</institution>, <institution>CAMPUS INP-ENSIACET</institution>, <addr-line>Toulouse</addr-line>, <country>France</country>
</aff>
<aff id="aff2">
<sup>2</sup>
<institution>Universit&#xe9; de Poitiers</institution>, <institution>CNRS</institution>, <institution>Institut de Chimie des Milieux et Mat&#xe9;riaux de Poitiers IC2MP</institution>, <addr-line>Poitiers</addr-line>, <country>France</country>
</aff>
<author-notes>
<fn fn-type="edited-by">
<p>
<bold>Edited by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/1806204/overview">Weiqi Zhang</ext-link>, Jiangsu University, China</p>
</fn>
<fn fn-type="edited-by">
<p>
<bold>Reviewed by:</bold> <ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2537613/overview">Subhasis Shit</ext-link>, Freie Universit&#xe4;t Berlin, Germany</p>
<p>
<ext-link ext-link-type="uri" xlink:href="https://loop.frontiersin.org/people/2275288/overview">Bjorn Hasa</ext-link>, Toyota Research Institute, United States</p>
</fn>
<corresp id="c001">&#x2a;Correspondence: Christophe Coutanceau, <email>christophe.coutanceau@univ-poitiers.fr</email>
</corresp>
</author-notes>
<pub-date pub-type="epub">
<day>01</day>
<month>05</month>
<year>2024</year>
</pub-date>
<pub-date pub-type="collection">
<year>2024</year>
</pub-date>
<volume>12</volume>
<elocation-id>1393860</elocation-id>
<history>
<date date-type="received">
<day>29</day>
<month>02</month>
<year>2024</year>
</date>
<date date-type="accepted">
<day>08</day>
<month>04</month>
<year>2024</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#xa9; 2024 Ginoux, Rafa&#xef;deen, Cognet, Latapie and Coutanceau.</copyright-statement>
<copyright-year>2024</copyright-year>
<copyright-holder>Ginoux, Rafa&#xef;deen, Cognet, Latapie and Coutanceau</copyright-holder>
<license xlink:href="http://creativecommons.org/licenses/by/4.0/">
<p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) and the copyright owner(s) are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.</p>
</license>
</permissions>
<abstract>
<p>Long-term electrolyses of glucose in a potassium carbonate (K<sub>2</sub>CO<sub>3</sub>) aqueous electrolyte have been performed on graphite felt electrodes with TEMPO as a homogeneous catalyst. The influences of the operating conditions (initial concentrations of glucose, TEMPO, and K<sub>2</sub>CO<sub>3</sub> along with applied anode potential) on the conversion, selectivity toward gluconate/glucarate, and faradaic efficiency were assessed first. Then, optimizations of the conversion, selectivity, and faradaic efficiency were performed using design of experiments based on the L<sub>9</sub> (3<sup>4</sup>) Taguchi table, which resulted in 84% selectivity toward gluconate with 71% faradaic efficiency for up to 79% glucose conversion. Side products such as glucaric acid were also obtained when the applied potential exceeded 1.5&#xa0;V vs. reversible hydrogen electrode.</p>
</abstract>
<kwd-group>
<kwd>glucose</kwd>
<kwd>gluconic acid</kwd>
<kwd>glucaric acid</kwd>
<kwd>optimization</kwd>
<kwd>TEMPO</kwd>
<kwd>electro-oxidation</kwd>
</kwd-group>
<contract-num rid="cn001">ANR-20-CE43-0005</contract-num>
<contract-sponsor id="cn001">Agence Nationale de la Recherche<named-content content-type="fundref-id">10.13039/501100001665</named-content>
</contract-sponsor>
<custom-meta-wrap>
<custom-meta>
<meta-name>section-at-acceptance</meta-name>
<meta-value>Electrochemistry</meta-value>
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</front>
<body>
<sec id="s1">
<title>1 Introduction</title>
<p>Gluconic acid (GA) has been included in the top-30 list of value-added chemicals derived from biomass (<xref ref-type="bibr" rid="B48">Werpy et al., 2004</xref>; <xref ref-type="bibr" rid="B45">Taylor et al., 2015</xref>); it has applications in various industries, including food, pharmaceuticals, cosmetics, and construction, and the market for GA is expected to experience sustained growth in the coming decades (<xref ref-type="bibr" rid="B5">Ca&#xf1;ete-Rodr&#xed;guez et al., 2016</xref>). At present, biotechnological methods are used to convert glucose into GA (<xref ref-type="bibr" rid="B16">Hustede et al., 2007</xref>). While these biotechnological processes have several benefits, such as ecofriendliness, they also have certain drawbacks such as slow conversion rates, requirement for multicomponent media, and complicated separation processes (<xref ref-type="bibr" rid="B44">Tathod et al., 2014</xref>). Owing to these limitations, there is growing interest in the development of catalytic methods for transforming glucose into high-value products (<xref ref-type="bibr" rid="B8">Climent et al., 2011</xref>; <xref ref-type="bibr" rid="B12">Gallezot, 2012</xref>; <xref ref-type="bibr" rid="B44">Tathod et al., 2014</xref>). Electrochemical methods for producing GA from glucose were developed quite early (<xref ref-type="bibr" rid="B18">Isabell et al., 1932</xref>), and these methods have become more attractive for biomass conversion with the recent increase in renewable electricity production (<xref ref-type="bibr" rid="B22">Li and Sun, 2018</xref>; <xref ref-type="bibr" rid="B11">Faverge et al., 2023</xref>).</p>
<p>Electrochemical processes have several benefits, including their avoidance of strong chemical oxidants/reductants, high tunability and controllability, and ability to operate at mild temperatures and pressures (<xref ref-type="bibr" rid="B6">Cardoso et al., 2017</xref>). In recent times, there have been significant advances in electrocatalysis, resulting in improved energy efficiency and selectivity of electro-organic processes. These achievements involve the use of electrocatalytic materials that reduce the anode and cathode overpotentials, which in turn improve the environmental sustainability of these processes. Numerous studies have been conducted on electrochemical processes using biomass-derived platform molecules (<xref ref-type="bibr" rid="B34">Prabhu et al., 2020</xref>; <xref ref-type="bibr" rid="B24">Lucas et al., 2021</xref>), such as the electro-oxidation (<xref ref-type="bibr" rid="B21">Latsuzbaia et al., 2018</xref>; <xref ref-type="bibr" rid="B42">Taitt et al., 2019</xref>) or electroreduction (<xref ref-type="bibr" rid="B25">Lund et al., 1985</xref>; <xref ref-type="bibr" rid="B40">Sanghez de Luna et al., 2021</xref>) of 5-hydroxymethylfurfural as well as electro-oxidation of glycerol (<xref ref-type="bibr" rid="B50">Zalineeva et al., 2014</xref>; <xref ref-type="bibr" rid="B9">Dai et al., 2017</xref>; <xref ref-type="bibr" rid="B43">Talebian-Kiakalaieh et al., 2018</xref>; <xref ref-type="bibr" rid="B15">Houache et al., 2020</xref>), levulinic acid (<xref ref-type="bibr" rid="B35">Qiu et al., 2014</xref>; <xref ref-type="bibr" rid="B10">dos Santos et al., 2015</xref>), glucose, and xylose (<xref ref-type="bibr" rid="B13">Governo et al., 2004</xref>; <xref ref-type="bibr" rid="B36">Rafa&#xef;deen et al., 2019</xref>; <xref ref-type="bibr" rid="B27">Moggia et al., 2020</xref>; <xref ref-type="bibr" rid="B1">Abdelrahim et al., 2023</xref>) on various kinds of electrodes. In addition, glucose belongs to the group of biosourced molecules that can undergo either oxidation or reduction reactions, enabling the production of value-added products at both the anode and cathode of an electrosynthesis cell&#x2014;a rare occurrence (<xref ref-type="bibr" rid="B33">Pintauro et al., 1984</xref>; <xref ref-type="bibr" rid="B28">M&#xf6;hle et al., 2018</xref>; <xref ref-type="bibr" rid="B11">Faverge et al., 2023</xref>).</p>
<p>The electro-oxidation of glucose to GA (and also glucaric acid) has been widely studied in strongly alkaline media on mono- or pluri-metallic platinum-group-metal-based catalysts (<xref ref-type="bibr" rid="B33">Pintauro et al., 1984</xref>; <xref ref-type="bibr" rid="B20">Largeaud et al., 1995</xref>; <xref ref-type="bibr" rid="B3">Beden et al., 1996</xref>; <xref ref-type="bibr" rid="B46">Tominaga et al., 2007</xref>; <xref ref-type="bibr" rid="B14">Hermans et al., 2011</xref>; <xref ref-type="bibr" rid="B29">Mougenot et al., 2011</xref>; <xref ref-type="bibr" rid="B49">Yan et al., 2014</xref>; <xref ref-type="bibr" rid="B28">M&#xf6;hle et al., 2018</xref>; <xref ref-type="bibr" rid="B36">Rafa&#xef;deen et al., 2019</xref>; <xref ref-type="bibr" rid="B27">Moggia et al., 2020</xref>; <xref ref-type="bibr" rid="B1">Abdelrahim et al., 2023</xref>; <xref ref-type="bibr" rid="B11">Faverge et al., 2023</xref>; <xref ref-type="bibr" rid="B30">Neha et al., 2023</xref>) and/or transitions metals, such as copper (<xref ref-type="bibr" rid="B27">Moggia et al., 2020</xref>) and nickel (<xref ref-type="bibr" rid="B7">Cardoso de S&#xe1; et al., 2014</xref>; <xref ref-type="bibr" rid="B17">Hwang et al., 2018</xref>; <xref ref-type="bibr" rid="B1">Abdelrahim et al., 2023</xref>). The former group of catalysts allows oxidation of glucose with relatively good selectivity toward GA at potentials below 1.0&#xa0;V vs. reversible hydrogen electrode (RHE); however, platinum-group metals are very expensive and/or belong to the list of critical/strategic raw materials (<xref ref-type="bibr" rid="B4">Bobba et al., 2020</xref>). The latter group of catalysts allows glucose electro-oxidation at high potentials (exceeding 1.0&#xa0;V vs. RHE) but often at the expense of the faradaic efficiency and selectivity toward GA or glucaric acid (<xref ref-type="bibr" rid="B41">Sanghez de Luna et al., 2023</xref>).</p>
<p>TEMPO or 2,2,6,6-tetramethylpiperidine-1-oxyl may allow some opportunities as an electrochemical catalyst to achieve selective electro-oxidation of glucose to gluconate. Indeed, TEMPO is a stable radical that exhibits useful redox properties and enables high selectivity during the oxidation of primary alcohols to aldehydes or carboxylic acids (<xref ref-type="bibr" rid="B51">Zhao et al., 2005</xref>; <xref ref-type="bibr" rid="B31">Omri et al., 2019</xref>; <xref ref-type="bibr" rid="B47">Vedovato et al., 2020</xref>). It has also been shown to be effective in the oxidation of various polysaccharides, including cellulose, sucrose, and starch (<xref ref-type="bibr" rid="B32">Pierre et al., 2017</xref>). TEMPO as a catalyst for selective electro-oxidation of glucose could also promote the use of graphite electrodes while avoiding metal-based electrodes.</p>
<p>Therefore, the present work focuses first on the electro-oxidation of glucose on graphite felt in an alkaline medium (K<sub>2</sub>CO<sub>3</sub> aqueous electrolyte with pH &#x3d; 12) in the presence of TEMPO as a homogeneous catalyst. The objective here is to demonstrate the feasibility of a continuous electrochemical reactor that allows selective production of GA at the anode simultaneously with hydrogen production at the cathode. To achieve this objective, further optimizations of the experimental conditions, glucose concentration, electrolyte, TEMPO, and cell voltage are performed using a Taguchi design of experiments (DoE) approach to obtain the highest conversion rate, selectivity toward GA, and faradaic efficiency.</p>
</sec>
<sec id="s2">
<title>2 Experimental</title>
<p>TEMPO (98%), D-glucose (&#x3e;99%), gluconic acid potassium salt (99%), D-fructose (99%), glucaric acid (99%), potassium carbonate (99%), 4-amino-TEMPO (97%), anhydrous toluene (&#x3e;99%), thionyl chloride (97%), 4-nitrobenzylamine (97%), triethylamine (99%), dicyclohexylcarbodiimide (DCC; 99%), N,N-dimethylformamide (DMF; 99%), monosodium phosphate (99%), and phosphoric acid (99%) were purchased from Sigma Aldrich. Sulfuric acid (&#x3e;95&#x2013;97%) (used for the HPLC mobile phase) was purchased from Merck Millipore, and HPLC-grade water (Milli-Q system, Millipore) was used for the reagents and HPLC mobile phase.</p>
<p>The electrochemical study was performed in an electrochemical reactor made up of a 100&#xa0;mL cell and a three-electrode setup (an auxiliary electrode, a working electrode and a reference electrode). The electrolyses (<xref ref-type="fig" rid="F1">Figure 1</xref>) were performed using a Micro Flow Cell from ElectroCell (electrode surface area: 10&#xa0;cm<sup>2</sup>); the anode was made of graphite felt (Goodfellow; thickness: 2&#xa0;mm, geometric surface area: 44 <inline-formula id="inf1">
<mml:math id="m1">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 40&#xa0;mm<sup>2</sup>), the cathode was made of nickel foam (Goodfellow; thickness: 1.6&#xa0;mm, geometric surface area: 44 <inline-formula id="inf2">
<mml:math id="m2">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 40&#xa0;mm<sup>2</sup>), and the reference electrode was Ag/AgCl 3.4&#xa0;mol&#xa0;L<sup>-1</sup> KCl inserted in the cathode compartment (1.32&#xa0;V vs. RHE at pH &#x3d; 12). The anodic and cathodic compartments were separated by an anion-exchange membrane (AEM) AHA from Eurodia. Constant flow rates were achieved in both compartments using two peristaltic pumps (Masterflex<sup>&#xae;</sup> L/S<sup>&#xae;</sup> Variable-Speed Digital Drive with Remote I/O, 6&#x2013;600&#xa0;rpm), and the feeding solutions were non-deaerated and constantly stirred using two magnetic stirrers (Cole-Parmer<sup>&#xae;</sup> SHP-200 Series Undergrad Analog Stirring Hot Plates). The electrolyses were performed at constant anode potentials (chronoamperometries) applied using a Radiometer potentiostat PGP201 through a computer with VoltaMaster 4 software. All potentials are quoted with respect to the RHE.</p>
<fig id="F1" position="float">
<label>FIGURE 1</label>
<caption>
<p>Experimental setup with (1) electrochemical reactor, (2) electrodes, (3) anion-exchange membrane, (4) peristaltic pumps, (5) magnetic stirrers, and (6) potentiostat.</p>
</caption>
<graphic xlink:href="fchem-12-1393860-g001.tif"/>
</fig>
<p>After electrolysis, the samples were acidified by the addition of 0.1&#xa0;mL of 0.05&#xa0;M H<sub>2</sub>SO<sub>4</sub> such that the pH decreased from 12 to around 1&#x2013;3 to prevent further degradation of the products under alkaline conditions and to match the pH of the HPLC eluant. The samples for the HPLC analyses were diluted thrice before electrolysis to check the initial concentrations and twice after electrolysis (to achieve uniform product concentrations between 0.1&#xa0;g&#xa0;L<sup>&#x2212;1</sup> and 2&#xa0;g&#xa0;L<sup>&#x2212;1</sup>), followed by filtration with a 0.22-&#xb5;m syringe filter and collection in 2-mL glass screw-top vials.</p>
<p>A Thermo Vanquish HPLC equipped with a Vanquish Split Sampler and an Aminex HPX-87H column (300 <inline-formula id="inf3">
<mml:math id="m3">
<mml:mrow>
<mml:mo>&#xd7;</mml:mo>
</mml:mrow>
</mml:math>
</inline-formula> 7.8&#xa0;mm<sup>2</sup>, 9&#xa0;&#xb5;m particle size, 8% cross-linkage, pH: 1&#x2013;3) was used to analyze the reaction products. Two detectors were used for these analyses, namely, a Vanquish variable-wavelength ultraviolet (UV) detector allowing up to four wavelength acquisitions at the same time (wavelength used: 210&#xa0;nm) and a refractive index detector (RID; RefractoMax 520). Indeed, glucose cannot be detected with a UV detector. A 10&#xa0;mmol&#xa0;L<sup>&#x2212;1</sup> solution of sulfuric acid was used as a mobile phase under isocratic conditions at a flow rate of 0.6&#xa0;mL&#xa0;min<sup>&#x2212;1</sup>. The injection volume was 20&#xa0;&#xb5;L, and the column temperature was set to 50&#xb0;C. The product separation required approximately 20&#xa0;min, and sample quantification was performed through comparisons with external calibration curves in the range of 0.2&#x2013;2&#xa0;g&#xa0;L<sup>&#x2212;1</sup> for glucose and fructose and 0.02&#x2013;2&#xa0;g&#xa0;L<sup>&#x2212;1</sup> for GA and glucaric acid. The linearity of the method was checked using six levels of concentrations each (0.2, 0.5, 0.8, 1.2, 1.5, and 2&#xa0;g&#xa0;L<sup>&#x2212;1</sup> for glucose and fructose; 0.02, 0.1, 0.5, 1, 1.5, and 2&#xa0;g&#xa0;L<sup>&#x2212;1</sup> for GA and glucaric acid). A minimum coefficient of determination (<italic>r</italic>
<sup>2</sup>) of 0.998 was obtained for each calibration curve drawn from both the UV and RI detectors.</p>
<p>Since glucose isomerizes into fructose in an alkaline medium through the Lobry de Bruyn&#x2013;Van Ekenstein transformation (<xref ref-type="bibr" rid="B26">MacLaurin and Green, 1969</xref>; <xref ref-type="bibr" rid="B19">Kokoh et al., 1992</xref>) and since this reaction is non-electrochemical in nature, the conversion (Eq. (1)), product yields (Eq. (2)), and product selectivity (Eq. (3)) were calculated as follows by considering only the electrochemical reactions:<disp-formula id="e1">
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<mml:mtext>&#x2009;</mml:mtext>
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<mml:mtext>&#x2009;</mml:mtext>
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<mml:mfenced open="(" close=")" separators="&#x7c;">
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<mml:mi mathvariant="normal">C</mml:mi>
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<mml:mi>C</mml:mi>
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<mml:mtext>glucose</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
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<mml:mo>,</mml:mo>
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<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mtext>glucose</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>fructose</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(1)</label>
</disp-formula>
<disp-formula id="e2">
<mml:math id="m5">
<mml:mrow>
<mml:mtext>Product&#x2009;yield&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">Y</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Amount</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>of</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>product</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>formed</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>in</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>mole</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mtext>Amount</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>of</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>glucose</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>fructose</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>in</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>reactant</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>in</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>mole</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mtext>product</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mtext>glucose</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>fructose</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(2)</label>
</disp-formula>
<disp-formula id="e3">
<mml:math id="m6">
<mml:mrow>
<mml:mtext>Product&#x2009;selectivity&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">S</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mo>%</mml:mo>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mtext>Amount</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>of</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>product</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>in</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>mole</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
<mml:mrow>
<mml:mtext>Amount</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>of</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>glucose</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>fructose</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>converted</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>in</mml:mtext>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mtext>mole</mml:mtext>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
</mml:mrow>
</mml:mfrac>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>&#x3d;</mml:mo>
<mml:mrow>
<mml:mfenced open="(" close=")" separators="&#x7c;">
<mml:mrow>
<mml:mfrac>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mtext>product</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
<mml:mrow>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mtext>glucose</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>fructose</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mn>0</mml:mn>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2212;</mml:mo>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mrow>
<mml:mtext>glucose</mml:mtext>
<mml:mo>&#x2b;</mml:mo>
<mml:mtext>fructose</mml:mtext>
<mml:mo>,</mml:mo>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:mrow>
</mml:msub>
</mml:mrow>
</mml:mfrac>
</mml:mrow>
</mml:mfenced>
</mml:mrow>
<mml:mo>&#xd7;</mml:mo>
<mml:mn>100</mml:mn>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mi mathvariant="normal">Y</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:mi mathvariant="normal">X</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>.</mml:mo>
</mml:mrow>
</mml:math>
<label>(3)</label>
</disp-formula>
</p>
<p>The faradaic efficiency (FE) is used to determine the amount of electricity utilized for an electrochemical reaction and is calculated as follows:<disp-formula id="e4">
<mml:math id="m7">
<mml:mrow>
<mml:mi>F</mml:mi>
<mml:mi>E</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bd;</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
<mml:mi mathvariant="normal">F</mml:mi>
</mml:mrow>
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bd;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
</mml:msub>
<mml:mi>Q</mml:mi>
</mml:mrow>
</mml:mfrac>
<mml:mo>,</mml:mo>
<mml:mtext>with&#x2009;</mml:mtext>
<mml:mi>Q</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mstyle displaystyle="true">
<mml:munderover>
<mml:mo>&#x222b;</mml:mo>
<mml:mn>0</mml:mn>
<mml:mi mathvariant="normal">t</mml:mi>
</mml:munderover>
</mml:mstyle>
<mml:mtext mathvariant="italic">Idt</mml:mtext>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(4)</label>
</disp-formula>where <inline-formula id="inf4">
<mml:math id="m8">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">n</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the number of moles of the product p obtained when charge <italic>Q</italic> is consumed, <inline-formula id="inf5">
<mml:math id="m9">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bd;</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the number of electrons involved in the electrochemical reaction, <inline-formula id="inf6">
<mml:math id="m10">
<mml:mrow>
<mml:mi mathvariant="normal">F</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mn>96</mml:mn>
<mml:mo>,</mml:mo>
<mml:mn>485</mml:mn>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mtext>&#x2009;</mml:mtext>
<mml:msup>
<mml:mtext>mol</mml:mtext>
<mml:mrow>
<mml:mo>&#x2212;</mml:mo>
<mml:mn>1</mml:mn>
</mml:mrow>
</mml:msup>
</mml:mrow>
</mml:math>
</inline-formula> is the Faraday constant, <inline-formula id="inf7">
<mml:math id="m11">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bd;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> is the stoichiometric coefficient of the product obtained, and <inline-formula id="inf8">
<mml:math id="m12">
<mml:mrow>
<mml:mi>Q</mml:mi>
</mml:mrow>
</mml:math>
</inline-formula> is the charge consumed.</p>
<p>The electrochemical reactions of glucose to gluconate (Eq. <xref ref-type="disp-formula" rid="e4">(5)</xref>) (with <inline-formula id="inf9">
<mml:math id="m13">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bd;</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 2 and <inline-formula id="inf10">
<mml:math id="m14">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bd;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 1) and glucose to glucarate (Eq. <xref ref-type="disp-formula" rid="e5">(6)</xref>) (with <inline-formula id="inf11">
<mml:math id="m15">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bd;</mml:mi>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 6 and <inline-formula id="inf12">
<mml:math id="m16">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">&#x3bd;</mml:mi>
<mml:mi mathvariant="normal">p</mml:mi>
</mml:msub>
</mml:mrow>
</mml:math>
</inline-formula> &#x3d; 1) are as follows:<disp-formula id="e5">
<mml:math id="m17">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>12</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mn>3</mml:mn>
<mml:mtext>OH</mml:mtext>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
<mml:mo>&#x2192;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>11</mml:mn>
</mml:msub>
<mml:msubsup>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mn>7</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mn>2</mml:mn>
<mml:mi mathvariant="normal">H</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
</mml:math>
<label>(5)</label>
</disp-formula>
<disp-formula id="e6">
<mml:math id="m18">
<mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>12</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mn>7</mml:mn>
<mml:mtext>OH</mml:mtext>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
<mml:mo>&#x2192;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mn>6</mml:mn>
</mml:msub>
<mml:msub>
<mml:mi mathvariant="normal">H</mml:mi>
<mml:mn>9</mml:mn>
</mml:msub>
<mml:msubsup>
<mml:mi mathvariant="normal">O</mml:mi>
<mml:mn>8</mml:mn>
<mml:mo>&#x2212;</mml:mo>
</mml:msubsup>
<mml:mo>&#x2b;</mml:mo>
<mml:msup>
<mml:mrow>
<mml:mn>6</mml:mn>
<mml:mi mathvariant="normal">e</mml:mi>
</mml:mrow>
<mml:mo>&#x2212;</mml:mo>
</mml:msup>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mn>5</mml:mn>
<mml:mi mathvariant="normal">H</mml:mi>
</mml:mrow>
<mml:mn>2</mml:mn>
</mml:msub>
<mml:mi mathvariant="normal">O</mml:mi>
</mml:mrow>
</mml:math>
<label>(6)</label>
</disp-formula>
</p>
</sec>
<sec sec-type="results|discussion" id="s3">
<title>3 Results and discussion</title>
<sec id="s3-1">
<title>3.1 Preliminary studies</title>
<p>It is well-known that glucose undergoes degradation reactions in non-deaerated alkaline media (<xref ref-type="bibr" rid="B2">Bamford and Collins, 1950</xref>). Because the electrolysis measurements were performed over 5&#xa0;h, the aging of a glucose solution was first studied under conditions close to those used for the electrolysis measurements (graphite felt, 0.028&#xa0;mol&#xa0;L<sup>-1</sup> glucose, 0.2&#xa0;mol&#xa0;L<sup>-1</sup> K<sub>2</sub>CO<sub>3</sub>, 20%<sub>mol,glucose</sub> TEMPO, and open-circuit potential). HPLC measurements were performed after 5&#xa0;h of circulation in the electrolysis cell, and it was found that ca. 2%&#x2013;3% of glucose was converted to other compounds (formic acid, glycolic acid, etc.) that were qualitatively detectable but not quantifiable.</p>
<p>Then, cyclic voltammetry (CV) was performed from 0.66 V to 1.96&#xa0;V vs. RHE in 0.2&#xa0;mol&#xa0;L<sup>-1</sup> K<sub>2</sub>CO<sub>3</sub> aqueous electrolyte to study the electrochemical activities toward the glucose oxidation reaction (GOR) of graphite felt in the absence and presence of TEMPO (<xref ref-type="fig" rid="F2">Figure 2</xref>). On graphite felt alone, a very low activity was observed for the GOR from ca. 1.60&#xa0;V vs. RHE as the increase in oxidation current was very small in the presence of glucose compared to those observed in pure electrolytes. The CV curve recorded in the supporting electrolyte in the presence of only TEMPO shows an oxidation wave starting from ca. 1.35&#xa0;V vs. RHE. From this potential, TEMPO is oxidized to nitrosonium ions; as long as TEMPO exists in this radical form, current can be detected, which reaches a maximum value as the potential increases (explaining the inflexion of the CV) and likely decreases to zero at higher potentials. In the presence of glucose, much higher currents are recorded from ca. 1.20&#xa0;V vs. RHE, indicating that glucose is catalytically oxidized. These observations translate to the efficiency of oxidation of glucose by TEMPO. At these potentials, TEMPO is oxidized into nitrosonium ions (<xref ref-type="fig" rid="F3">Figure 3</xref>), which can then oxidize a chemical function of a glucose molecule (primary alcohol, secondary alcohol, or anomeric function). Once glucose is oxidized by the nitrosonium ion form of TEMPO, the nitrosonium ions are reduced to a hydroxylamine that can be further re-oxidized on the electrode to the original form of TEMPO to participate in the electrocatalytic cycle. <xref ref-type="fig" rid="F3">Figure 3</xref> shows an electrochemical mechanism derived from the catalytic cycle proposed by Lindstr&#xf6;m et al. <xref ref-type="bibr" rid="B23">(2005)</xref>, with the transfer of two electrons for an oxidation reaction.</p>
<fig id="F2" position="float">
<label>FIGURE 2</label>
<caption>
<p>Cyclic voltammetry curves in 0.2&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> K<sub>2</sub>CO<sub>3</sub> (plain gray line), 0.2&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> K<sub>2</sub>CO<sub>3</sub> &#x2b; 0.028&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> glucose (dashed gray line), 0.2&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> K<sub>2</sub>CO<sub>3</sub> &#x2b; 0.0056&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> TEMPO (plain black line), and 0.2&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> K<sub>2</sub>CO<sub>3</sub> &#x2b; 0.0056&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> TEMPO &#x2b; 0.028&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> glucose (black dotted line) electrolytes recorded on a graphite felt at 10&#xa0;mV&#xa0;s<sup>-1</sup> (<italic>T</italic> &#x3d; 20&#xb0;C).</p>
</caption>
<graphic xlink:href="fchem-12-1393860-g002.tif"/>
</fig>
<fig id="F3" position="float">
<label>FIGURE 3</label>
<caption>
<p>Electrocatalytic cycle of TEMPO oxidation derived from <xref ref-type="bibr" rid="B23">Lindstr&#xf6;m et al. (2005)</xref>.</p>
</caption>
<graphic xlink:href="fchem-12-1393860-g003.tif"/>
</fig>
<p>Once the activity of TEMPO for the GOR is evidenced, it is necessary to determine the products formed as well as the selectivity and FE of the reaction toward the target product (GA). Here, the determination of the FE is based on the hypotheses that (i) all oxidized TEMPO molecules are consumed to oxidize glucose completely into products and (ii) the contribution of the graphite felt to the glucose electro-oxidation process is negligible. The first hypothesis is supported by the fact that 100% FE toward GA has been achieved under different conditions (<xref ref-type="table" rid="T3">Table 3</xref>). If a portion of the oxidized TEMPO is used for reactions that do not involve glucose, then 100% FE cannot be achieved. The second hypothesis seems reasonable since no glucose oxidation current is recorded on the carbon felt below 1.6&#xa0;V vs. RHE (<xref ref-type="fig" rid="F3">Figure 3</xref>).</p>
<p>Chronoamperometry measurements were performed to accumulate the products and determine the product distribution by HPLC. The product distribution can vary depending on the concentrations of glucose, TEMPO, and K<sub>2</sub>CO<sub>3</sub> as well as the applied anode potential. These parameters were then considered in the study of long-term chronoamperometric measurements. The reference electrolysis experiments were carried out for 5&#xa0;h in 0.2&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> K<sub>2</sub>CO<sub>3</sub> electrolyte containing 0.028&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> of glucose and 0.0056&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> of TEMPO (corresponding to a TEMPO/glucose ratio of 20&#xa0;mol%) with an applied anode potential of 1.300&#xa0;V vs. RHE and a flowrate of 100&#xa0;mL&#xa0;min<sup>&#x2212;1</sup>.</p>
<p>This configuration of parameters involving an electric charge of 283.2&#xa0;C resulted in a conversion rate of ca. 28.9%, selectivity toward GA of 84.1%, and FE of 91.8% after 5&#xa0;h of electrolysis (<xref ref-type="fig" rid="F4">Figure 4</xref>). At this potential, it is unlikely that the oxygen evolution reaction (OER) is significant. Moreover, the CV curve of the carbon felt modified in the presence of only TEMPO in the supporting electrolyte (<xref ref-type="fig" rid="F3">Figure 3</xref>) does not show a significant current density at 1.300&#xa0;V vs. RHE, and the very small current density observed is likely attributable to the oxidation of TEMPO. Therefore, the FE of 91.8% for GA production may be due to the formation of some byproducts detected by HPLC (formic acid, glycolic acid, and oxalic acid due to alkaline degradation and other products not identified) that are not quantifiable.</p>
<fig id="F4" position="float">
<label>FIGURE 4</label>
<caption>
<p>
<bold>(A)</bold> Conversion rate <italic>X</italic> and electricity consumed <italic>Q</italic> as well as <bold>(B)</bold> selectivity <italic>S</italic> and faradaic efficiency <italic>FE</italic> in gluconic acid as functions of the applied anode potential; <italic>C</italic>
<sub>glucose</sub> &#x3d; 0.028&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>, <italic>C</italic>
<sub>TEMPO</sub> &#x3d; 0.0056&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> (20% mol/glucose), <italic>C</italic>
<sub>K2CO3</sub> &#x3d; 0.2&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>, electrolysis time &#x3d; 5&#xa0;h, and flow rate &#x3d; 100&#xa0;mL&#xa0;min<sup>&#x2212;1</sup>. The counter electrode is a nickel foam of size 40 &#xd7; 44&#xa0;mm<sup>2</sup> and thickness 1.6&#xa0;mm (<italic>T</italic> &#x3d; 20&#xb0;C).</p>
</caption>
<graphic xlink:href="fchem-12-1393860-g004.tif"/>
</fig>
<p>Increasing the applied anode potential from 1.32 V to 1.62&#xa0;V vs. RHE leads to monotonous increases of the electric charge and conversion rate to 1479&#xa0;C and 86.2%, respectively, at 1.6&#xa0;V vs. RHE, while the selectivity toward GA decreases slightly to 78.2% and FE drops to 48.4%. Concurrently, for potentials higher than 1.42&#xa0;V vs. RHE, glucaric acid is detected, reaching a selectivity of 8.4% and FE of 15.6% at 1.62&#xa0;V vs. RHE. The global FE and selectivity considering both GA and glucaric acid reach 64% and 86.6%, respectively. TEMPO is normally used for its ability to activate primary alcohol oxidation into aldehyde (<xref ref-type="bibr" rid="B23">Lindstr&#xf6;m et al., 2005</xref>). However, under the present experimental conditions, the anomeric function is preferentially oxidized in the presence of TEMPO to form gluconic acid from 1.22&#xa0;V vs. RHE onwards. The formation of glucaric acid at potentials exceeding 1.42&#xa0;V vs. RHE proceeds through the oxidation of the C1 alcohol group of GA into a carboxylic acid to form glucaric acid; this is attributable to either a potential effect or catalysis by the nitrosium ion form of TEMPO that is formed more rapidly and at higher amounts at higher potentials. In both cases, it appears that GA becomes a reactive intermediate that can be transformed to glucaric acid. The decrease of the FE for GA production at high anode potentials is due to the formation of not only glucaric acid but also other byproducts detected by HPLC (formic acid and glycolic acid from alkaline degradation and other products not identified) that are not quantifiable (signals below the quantification limit), in addition to the competition with the OER.</p>
<p>The effects of increasing the glucose concentration from 0.028 to 0.084&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> on the electrochemical performance were assessed at 1.32&#xa0;V vs. RHE (<xref ref-type="fig" rid="F5">Figure 5</xref>). Although the electrical charge increases from 283.2 C to 331.5&#xa0;C with this increase in glucose concentration, the conversion rate decreases from 29% to 15%. The increase in electrical charge is only 17% for a 300% increase in glucose concentration, which explains the decrease of the ratio <italic>C</italic>
<sub>gluconic,t</sub>/<italic>C</italic>
<sub>glucose&#x2b;fructose,0</sub> (conversion rate) with increasing concentration. Several explanations can be proposed for this observation, such as saturation of the graphite felt surface by glucose/fructose that limits the access of TEMPO, presence of a limited number of active surface sites for reaction, or poisoning of the surface. The selectivity decreases slightly for glucose concentrations between 0.028 and 0.056&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> (<italic>S</italic> around 84%) and more drastically for the highest concentration (<italic>S</italic> &#x3d; 74%). However, the FE improves with increase in glucose concentration, starting at 91.8% for 0.056&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> glucose and reaching 100% for 0.084&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> glucose. This means that 100% of the electricity is consumed toward oxidizing glucose into GA at high glucose concentrations. The discrepancy between the decreasing selectivity and increasing FE with increasing glucose concentration can be attributed to the products formed by non-electrochemical degradation reactions (ca. 2%&#x2013;3% for 0.028&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> glucose in 0.2&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> K<sub>2</sub>CO<sub>3</sub> and 20% mol TEMPO) and unidentifiable side products, which may decrease the selectivity without altering the FE. It has indeed been shown in a previous work that higher glucose concentrations exhibit higher degradation kinetics in alkaline media (<xref ref-type="bibr" rid="B37">Rafa&#xef;deen et al., 2020</xref>).</p>
<fig id="F5" position="float">
<label>FIGURE 5</label>
<caption>
<p>
<bold>(A)</bold> Conversion rate <italic>X</italic> and electricity consumed <italic>Q</italic> as well as <bold>(B)</bold> selectivity <italic>S</italic> and faradaic efficiency <italic>FE</italic> in gluconic acid as functions of glucose concentration; <italic>C</italic>
<sub>TEMPO</sub> &#x3d; 20% mol/glucose, <italic>C</italic>
<sub>K2CO3</sub> &#x3d; 0.2&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>, applied anode potential &#x3d; 1.32&#xa0;V vs. RHE, electrolysis time &#x3d; 5&#xa0;h, and flow rate &#x3d; 100&#xa0;mL&#xa0;min<sup>&#x2212;1</sup> (<italic>T</italic> &#x3d; 20&#xb0;C). The counter electrode is a nickel foam of size 40 &#xd7; 44&#xa0;mm<sup>2</sup> and thickness 1.6&#xa0;mm.</p>
</caption>
<graphic xlink:href="fchem-12-1393860-g005.tif"/>
</fig>
<p>Next, the effects of varying the proportion of TEMPO from 5%<sub>mol glucose</sub> to 20%<sub>mol glucose</sub> on the GOR were studied (<xref ref-type="fig" rid="F6">Figure 6</xref>). Here, both electrical charge and conversion rate follow the same trend and increase with the proportion of TEMPO. The selectivity and FE also remain almost stable over the concentration range of TEMPO and seem to decrease slightly at higher concentrations. It is worth noting that a large amount of TEMPO is not required for achieving high selectivity and FE (88% and 94.4%, respectively, for 5% TEMPO). Again, an FE value below 100% indicates that other coproducts are electroformed that are detectable by HPLC but not identifiable, in addition to formation of non-electrochemical degradation products, both with very low selectivity values.</p>
<fig id="F6" position="float">
<label>FIGURE 6</label>
<caption>
<p>
<bold>(A)</bold> Conversion rate <italic>X</italic> and electricity consumed <italic>Q</italic>, and <bold>(B)</bold> selectivity <italic>S</italic> and faradaic efficiency <italic>FE</italic> in gluconic acid as functions of TEMPO concentration (% mol/glucose); <italic>C</italic>
<sub>glucose</sub> &#x3d; 0.028&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>, C<sub>K2CO3</sub> &#x3d; 0.2&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>, applied anode potential &#x3d; 1.32&#xa0;V vs. RHE, electrolysis time &#x3d; 5&#xa0;h, and flow rate &#x3d; 100&#xa0;mL&#xa0;min<sup>&#x2212;1</sup> (<italic>T</italic> &#x3d; 20&#xb0;C). The counter electrode is a nickel foam of size 40 &#xd7; 44&#xa0;mm<sup>2</sup> and thickness 1.6&#xa0;mm.</p>
</caption>
<graphic xlink:href="fchem-12-1393860-g006.tif"/>
</fig>
<p>Lastly, the effects of K<sub>2</sub>CO<sub>3</sub> concentration variation in the range of 0.05&#x2013;0.20&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> (<xref ref-type="fig" rid="F7">Figure 7</xref>) were studied. The conversion rate increases obviously with K<sub>2</sub>CO<sub>3</sub> concentration due to the increasing conductivity. The selectivity increases for K<sub>2</sub>CO<sub>3</sub> concentrations from 0.05 to 0.10&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>, before stabilizing at ca. 90% between 0.10 and 0.15&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> K<sub>2</sub>CO<sub>3</sub>, with a faradaic efficiency very close to 100%. The competition between the electroconversion of glucose to GA and chemical degradation of glucose in an alkaline medium appears to limit the selectivity to a maximum of 90% after 5&#xa0;h of measurements. The optimal concentration of K<sub>2</sub>CO<sub>3</sub> thus seems to be between 0.10 and 0.15&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>.</p>
<fig id="F7" position="float">
<label>FIGURE 7</label>
<caption>
<p>
<bold>(A)</bold> Conversion rate <italic>X</italic> and electricity consumed <italic>Q</italic>, and <bold>(B)</bold> selectivity <italic>S</italic> and faradaic efficiency <italic>FE</italic> in gluconic acid as functions of <italic>C</italic>
<sub>K2CO3</sub>; <italic>C</italic>
<sub>Glucose</sub> &#x3d; 0.028&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>, <italic>C</italic>
<sub>TEMPO</sub> &#x3d; 0.0056&#xa0;mol&#xa0;L<sup>&#x2212;1</sup> (20% mol/glucose), applied anode potential &#x3d; 1.32&#xa0;V vs. RHE, electrolysis time &#x3d; 5&#xa0;h, and flow rate &#x3d; 100&#xa0;mL&#xa0;min<sup>&#x2212;1</sup> (<italic>T</italic> &#x3d; 20&#xb0;C). The counter electrode is a nickel foam of size 40 &#xd7; 44&#xa0;mm<sup>2</sup> and thickness 1.6&#xa0;mm.</p>
</caption>
<graphic xlink:href="fchem-12-1393860-g007.tif"/>
</fig>
<p>In all these experiments, the main reaction product by far is GA, which demonstrates that TEMPO is active for the electrocatalytic oxidation of the anomeric function of glucose. Because the cyclic form of glucose is predominant in the aqueous solution and because it is known that the OH group of the anomeric function is highly reactive to oxidation, the mechanism in <xref ref-type="fig" rid="F8">Figure 8</xref> is proposed for the oxidation of glucose to GA, which is derived from the mechanism proposed for alcohol oxidation by TEMPO (<xref ref-type="bibr" rid="B38">Rafiee et al., 2015</xref>). In this mechanism, the TEMPO molecule is oxidized by transferring two electrons toward the carbon felt electrode; the oxidized form of TEMPO then catalyzes the oxidation reaction of the anomeric function.</p>
<fig id="F8" position="float">
<label>FIGURE 8</label>
<caption>
<p>Mechanism of electrocatalytic oxidation of glucose by TEMPO.</p>
</caption>
<graphic xlink:href="fchem-12-1393860-g008.tif"/>
</fig>
</sec>
<sec id="s3-2">
<title>3.2 Optimization of experimental conditions via DoE</title>
<p>A preliminary study of glucose electro-oxidation on graphite felt in the presence of TEMPO showed that the concentrations of the electrolyte, glucose, and TEMPO as well as the anode potential are important parameters influencing the conversion rate, selectivity, and FE of the reaction. To optimize the experimental conditions and determine the best configurations of these parameters that can achieve the highest conversion rate, selectivity, and FE for glucose electro-oxidation into GA, a DoE approach was used based on the L<sub>9</sub> (3<sup>4</sup>) orthogonal array of the Taguchi table (<xref ref-type="table" rid="T1">Table 1</xref>). Taguchi&#x2019;s method is a powerful tool for the design of a high-quality system that provides a simple, an efficient, and a systemic approach to optimization, quality, and cost (<xref ref-type="bibr" rid="B39">Ross, 1988</xref>) while diminishing the number of experiments. Here, the study of four parameters with three levels each necessitates 3<sup>4</sup> experiments (81 experiments) in the full-factorial DoE. This number can be decreased to nine using the L<sub>9</sub> (3<sup>4</sup>) orthogonal array of the Taguchi table if the interactions between the parameters are neglected.</p>
<table-wrap id="T1" position="float">
<label>TABLE 1</label>
<caption>
<p>L<sub>9</sub> orthogonal array of the Taguchi method.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th rowspan="2" align="center">Experiment</th>
<th colspan="4" align="center">Parameters and levels</th>
</tr>
<tr>
<th align="center">A</th>
<th align="center">B</th>
<th align="center">C</th>
<th align="center">D</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">1</td>
<td align="center">1</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">1</td>
<td align="center">2</td>
<td align="center">2</td>
<td align="center">2</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">1</td>
<td align="center">3</td>
<td align="center">3</td>
<td align="center">3</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">2</td>
<td align="center">1</td>
<td align="center">2</td>
<td align="center">3</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">2</td>
<td align="center">2</td>
<td align="center">3</td>
<td align="center">1</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">2</td>
<td align="center">3</td>
<td align="center">1</td>
<td align="center">2</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">3</td>
<td align="center">1</td>
<td align="center">3</td>
<td align="center">2</td>
</tr>
<tr>
<td align="center">8</td>
<td align="center">3</td>
<td align="center">2</td>
<td align="center">1</td>
<td align="center">3</td>
</tr>
<tr>
<td align="center">9</td>
<td align="center">3</td>
<td align="center">3</td>
<td align="center">2</td>
<td align="center">1</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn>
<p>A: glucose concentration, B: K<sub>2</sub>CO<sub>3</sub> concentration, C: TEMPO concentration, and D: applied anode potential; the levels 1, 2, and 3 correspond to the low, medium, and high values of the parameters, respectively (see <xref ref-type="table" rid="T2">Table 2</xref>).</p>
</fn>
</table-wrap-foot>
</table-wrap>
<p>Each of the nine experiments was performed for the four parameters set to the levels given in <xref ref-type="table" rid="T1">Table 1</xref> (L<sub>9</sub> (3<sup>4</sup>) orthogonal array of Taguchi), and their corresponding values are noted in <xref ref-type="table" rid="T2">Table 2</xref>. <xref ref-type="table" rid="T3">Table 3</xref> gives the matrix of experiments as well as the responses (conversion rate, FE, and selectivity) obtained for each experiment with the parameters set to appropriate values.</p>
<table-wrap id="T2" position="float">
<label>TABLE 2</label>
<caption>
<p>Values of each of the parameters for all levels.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="left"/>
<th align="center">Level 1</th>
<th align="center">Level 2</th>
<th align="center">Level 3</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="left">A: [Glucose] (mol L<sup>-1</sup>)</td>
<td align="center">0.028</td>
<td align="center">0.056</td>
<td align="center">0.084</td>
</tr>
<tr>
<td align="left">B: [K<sub>2</sub>CO<sub>3</sub>] (mol L<sup>-1</sup>)</td>
<td align="center">0.05</td>
<td align="center">0.1</td>
<td align="center">0.2</td>
</tr>
<tr>
<td align="left">C: [TEMPO] (%<sub>mol glucose</sub>)</td>
<td align="center">5</td>
<td align="center">10</td>
<td align="center">15</td>
</tr>
<tr>
<td align="left">D: E (V vs. RHE)</td>
<td align="center">1.32</td>
<td align="center">1.42</td>
<td align="center">1.52</td>
</tr>
</tbody>
</table>
</table-wrap>
<table-wrap id="T3" position="float">
<label>TABLE 3</label>
<caption>
<p>Reactant conversion rate <italic>X</italic>, chemical selectivity <italic>S</italic>, and faradaic efficiency <italic>FE</italic> calculated from the nine experiments of the Taguchi L<sub>9</sub> method.</p>
</caption>
<table>
<thead valign="top">
<tr>
<th align="center">Experiment</th>
<th align="center">
<italic>C</italic>
<sub>glucose</sub> mol L<sup>&#x2212;1</sup>
</th>
<th align="center">
<italic>C</italic>
<sub>K2CO3</sub> mol L<sup>&#x2212;1</sup>
</th>
<th align="center">% TEMPO</th>
<th align="center">
<italic>E</italic> V vs. RHE</th>
<th align="center">
<italic>X</italic> (%)</th>
<th align="center">
<italic>FE</italic> (%)</th>
<th align="center">
<italic>S</italic> (%)</th>
</tr>
</thead>
<tbody valign="top">
<tr>
<td align="center">1</td>
<td align="center">0.028</td>
<td align="center">0.05</td>
<td align="center">5</td>
<td align="center">1.32</td>
<td align="center">11.6</td>
<td align="center">100</td>
<td align="center">76.7</td>
</tr>
<tr>
<td align="center">2</td>
<td align="center">0.028</td>
<td align="center">0.1</td>
<td align="center">10</td>
<td align="center">1.42</td>
<td align="center">31.1</td>
<td align="center">98.3</td>
<td align="center">87.8</td>
</tr>
<tr>
<td align="center">3</td>
<td align="center">0.028</td>
<td align="center">0.2</td>
<td align="center">15</td>
<td align="center">1.52</td>
<td align="center">78.9</td>
<td align="center">71.0</td>
<td align="center">83.8</td>
</tr>
<tr>
<td align="center">4</td>
<td align="center">0.056</td>
<td align="center">0.05</td>
<td align="center">10</td>
<td align="center">1.52</td>
<td align="center">24.8</td>
<td align="center">100</td>
<td align="center">87.6</td>
</tr>
<tr>
<td align="center">5</td>
<td align="center">0.056</td>
<td align="center">0.1</td>
<td align="center">15</td>
<td align="center">1.32</td>
<td align="center">16.6</td>
<td align="center">100</td>
<td align="center">74.9</td>
</tr>
<tr>
<td align="center">6</td>
<td align="center">0.056</td>
<td align="center">0.2</td>
<td align="center">5</td>
<td align="center">1.42</td>
<td align="center">33.7</td>
<td align="center">92.0</td>
<td align="center">85.5</td>
</tr>
<tr>
<td align="center">7</td>
<td align="center">0.084</td>
<td align="center">0.05</td>
<td align="center">15</td>
<td align="center">1.42</td>
<td align="center">14.9</td>
<td align="center">100</td>
<td align="center">73.5</td>
</tr>
<tr>
<td align="center">8</td>
<td align="center">0.084</td>
<td align="center">0.1</td>
<td align="center">5</td>
<td align="center">1.52</td>
<td align="center">27.6</td>
<td align="center">100</td>
<td align="center">80.1</td>
</tr>
<tr>
<td align="center">9</td>
<td align="center">0.084</td>
<td align="center">0.2</td>
<td align="center">10</td>
<td align="center">1.32</td>
<td align="center">18.1</td>
<td align="center">100</td>
<td align="center">73.3</td>
</tr>
<tr>
<td colspan="5" align="right">Average</td>
<td align="center">28.6</td>
<td align="center">95.7</td>
<td align="center">80.5</td>
</tr>
</tbody>
</table>
</table-wrap>
<p>The results in <xref ref-type="table" rid="T3">Table 3</xref> make it possible to theoretically calculate the response Y of the system for any configuration of factors from the effects E<sub>Ai</sub> of the parameters using the following equations:<disp-formula id="e7">
<mml:math id="m19">
<mml:mrow>
<mml:mi mathvariant="normal">Y</mml:mi>
<mml:mo>&#x3d;</mml:mo>
<mml:mi mathvariant="normal">M</mml:mi>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:msub>
<mml:mi>C</mml:mi>
<mml:mtext>glucose</mml:mtext>
</mml:msub>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">C</mml:mi>
<mml:mrow>
<mml:mi mathvariant="normal">K</mml:mi>
<mml:mn>2</mml:mn>
<mml:mtext>CO</mml:mtext>
<mml:mn>3</mml:mn>
</mml:mrow>
</mml:msub>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mrow>
<mml:mo>%</mml:mo>
<mml:mtext>TEMPO</mml:mtext>
</mml:mrow>
</mml:msub>
<mml:mo>&#x2b;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">E</mml:mi>
<mml:mi mathvariant="normal">E</mml:mi>
</mml:msub>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(7)</label>
</disp-formula>
<disp-formula id="e8">
<mml:math id="m20">
<mml:mrow>
<mml:mtext>With</mml:mtext>
<mml:mo>,</mml:mo>
<mml:msub>
<mml:mrow>
<mml:mtext>&#x2009;</mml:mtext>
<mml:mi mathvariant="normal">E</mml:mi>
</mml:mrow>
<mml:msub>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:msub>
<mml:mo>&#x3d;</mml:mo>
<mml:mfrac>
<mml:mrow>
<mml:mo>&#x2211;</mml:mo>
<mml:msub>
<mml:mi mathvariant="normal">R</mml:mi>
<mml:msub>
<mml:mi mathvariant="normal">A</mml:mi>
<mml:mi mathvariant="normal">i</mml:mi>
</mml:msub>
</mml:msub>
</mml:mrow>
<mml:mn>3</mml:mn>
</mml:mfrac>
<mml:mo>&#x2212;</mml:mo>
<mml:mover accent="true">
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
<mml:mo>,</mml:mo>
</mml:mrow>
</mml:math>
<label>(8)</label>
</disp-formula>where M is the general average of the responses, E<sub>Ai</sub> is the effect of parameter A at level i, R<sub>Ai</sub> is the measured response for parameter A at level i, and <inline-formula id="inf13">
<mml:math id="m21">
<mml:mrow>
<mml:mover accent="true">
<mml:mi mathvariant="normal">R</mml:mi>
<mml:mo>&#xaf;</mml:mo>
</mml:mover>
</mml:mrow>
</mml:math>
</inline-formula> is the average value of the responses.</p>
<p>The effect graphs in <xref ref-type="fig" rid="F9">Figure 9</xref> show the influences of the levels of each parameter on different responses, i.e., conversion rate <italic>X</italic>, chemical selectivity S, and faradaic efficiency FE%. From these graphs, it is possible to optimize the operating conditions to obtain the best reactant conversion rate, chemical selectivity, and FE.</p>
<fig id="F9" position="float">
<label>FIGURE 9</label>
<caption>
<p>Graphs of the mean effects of the experimental parameters, as determined from Eq. <xref ref-type="disp-formula" rid="e5">(5)</xref> on the <bold>(A)</bold> conversion rate <italic>X</italic>, <bold>(B)</bold> selectivity <italic>S</italic>, and <bold>(C)</bold> faradaic efficiency <italic>FE</italic> toward gluconic acid.</p>
</caption>
<graphic xlink:href="fchem-12-1393860-g009.tif"/>
</fig>
<p>Considering the optimization of the conversion rate <italic>X</italic> (<xref ref-type="fig" rid="F9">Figure 9A</xref>) first, the best parameter configurations are <italic>C</italic>
<sub>glucose</sub> at level 1 (0.028&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>), C<sub>K2CO3</sub> at level 3 (0.2&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>), %<sub>mol TEMPO</sub> at level 3 (15%<sub>mol/glucose</sub>, 0.0042&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>), and <italic>E</italic> at level 3 (1.52&#xa0;V vs. RHE). This experiment is within the DoE and leads to values (both experimental and theoretical) of 78.9% for the conversion rate <italic>X</italic>, 81.6% for the selectivity <italic>S</italic>, and 76.9% for the faradaic efficiency <italic>FE</italic>. Now, considering the optimization of selectivity <italic>S</italic> (<xref ref-type="fig" rid="F9">Figure 9B</xref>), the best parameter configurations are <italic>C</italic>
<sub>glucose</sub> at level 1 (0.028&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>), <italic>C</italic>
<sub>K2CO3</sub> at level 2 (0.1&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>), %<sub>mol TEMPO</sub> at level 2 (10%<sub>mol/glucose</sub>, 0.0028&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>), and <italic>E</italic> at level 3 (1.52&#xa0;V vs. RHE); this experiment is out of the DoE and can therefore serve as a confirmation to verify the accuracy of the DoE. Accordingly, the experimental values were <italic>X</italic>
<sub>exp</sub> &#x3d; 36.4, <italic>S</italic>
<sub>exp</sub> &#x3d; 87.8%, and <italic>FE</italic>
<sub>exp</sub> &#x3d; 70.1%, whereas the theoretical values were <italic>X</italic>
<sub>theo</sub> &#x3d; 48.3%, <italic>S</italic>
<sub>theo</sub> &#x3d; 89.4%, and <italic>FE</italic>
<sub>theo</sub> &#x3d; 91.9%. Lastly, for optimization of the faradaic efficiency <italic>FE</italic> (<xref ref-type="fig" rid="F9">Figure 9C</xref>), the best parameter configurations are <italic>C</italic>
<sub>Glucose</sub> at level 3 (0.084&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>), <italic>C</italic>
<sub>K2CO3</sub> at level 1 (0.05&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>), %<sub>mol TEMPO</sub> at level 2 (10%<sub>mol/glucose</sub>, 0.0084&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>), and <italic>E</italic> at level 1 (1.32&#xa0;V vs. RHE). This experiment is also out of the DoE. Using these experimental conditions, <italic>X</italic>
<sub>exp</sub> &#x3d; 8.3%, <italic>S</italic>
<sub>exp</sub> &#x3d; 78.5%, and <italic>FE</italic>
<sub>exp</sub> &#x3d; 100%, whereas the corresponding theoretical values are <italic>X</italic>
<sub>theo</sub> &#x3d; &#x2212;8.4%, <italic>S</italic>
<sub>theo</sub> &#x3d; 71.7%, and <italic>FE</italic>
<sub>theo</sub> &#x3d; 112.3%.</p>
<p>For the three responses (conversion rate, selectivity, and FE), the theoretical and experimental values obtained in the confirmation experiments are different, which indicates interactions between the parameters. However, the variations of the theoretical values have the same trends as those of the experimental values. Moreover, the differences are lower for selectivity than for the other responses. However, adding one or two independent interactions in the DoE will necessitate performing at least 27 or all 81 experiments (corresponding to the full-factorial DoE), respectively, to respect both the degree of liberty and orthogonality criteria (<xref ref-type="bibr" rid="B39">Ross, 2017</xref>). Since the theoretical and experimental values of each of the responses follow similar trends, the DoE allows the following track. The optimization of the <italic>FE</italic> is at the expense of the conversion rate and selectivity. Therefore, the experiment within the DoE with <italic>C</italic>
<sub>glucose</sub> &#x3d; 0.028&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>, <italic>C</italic>
<sub>K2CO3</sub> &#x3d; 0.2&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>, %mol TEMPO &#x3d; 15%<sub>mol/glucose</sub> (0.0042&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>), and <italic>E</italic> &#x3d; 1.52&#xa0;V vs. RHE that results in <italic>X</italic>
<sub>exp</sub> &#x3d; 78.9%, <italic>S</italic>
<sub>exp</sub> &#x3d; 81.6%, and <italic>FE</italic>
<sub>exp</sub> &#x3d; 76.9% seems to be the best compromise in terms of optimization of all responses. However, the user may choose a different set of parameter configurations according to the response that they consider the most important.</p>
</sec>
</sec>
<sec sec-type="conclusion" id="s4">
<title>4 Conclusion</title>
<p>TEMPO is generally used as the catalyst for selective oxidation of primary alcohols toward aldehydes. Herein, TEMPO is successfully uses as the homogeneous catalyst for selective electro-oxidation of glucose. The effects of different experimental parameters (glucose and K<sub>2</sub>CO<sub>3</sub> concentrations, molar ratio of TEMPO with respect to glucose, and applied anode potential) on the glucose conversion rate, selectivity, and faradaic efficiency toward GA were studied. Optimizations of the experimental conditions were also performed using a DoE approach derived from the L<sub>9</sub> (3<sup>4</sup>) Taguchi array to achieve high selectivity of 88% toward GA with a faradaic efficiency of 70% for a conversion rate of 36.4% (<italic>C</italic>
<sub>glucose</sub> &#x3d; 0.028&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>, <italic>C</italic>
<sub>K2CO3</sub> &#x3d; 0.1&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>, TEMPO &#x3d; 10%<sub>mol/glucose</sub> &#x3d; 0.0028&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>, and <italic>E</italic> &#x3d; 1.52&#xa0;V vs. RHE). The glucose conversion rate can be further increased to 79%, with the faradaic efficiency and selectivity remaining at approximately 77% and 82%, respectively (<italic>C</italic>
<sub>glucose</sub> &#x3d; 0.028&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>, <italic>C</italic>
<sub>K2CO3</sub> &#x3d; 0.2&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>, TEMPO &#x3d; 15%<sub>mol/glucose</sub> &#x3d; 0.0042&#xa0;mol&#xa0;L<sup>&#x2212;1</sup>, and <italic>E</italic> &#x3d; 1.52&#xa0;V vs. RHE). About 10% glucaric acid conversion can also be obtained when the applied anode potential is above 1.52&#xa0;V vs. RHE.</p>
</sec>
</body>
<back>
<sec sec-type="data-availability" id="s5">
<title>Data availability statement</title>
<p>The raw data supporting the conclusions of this article will be made available by the authors without undue reservation.</p>
</sec>
<sec id="s6">
<title>Author contributions</title>
<p>EG: investigation, visualization, writing&#x2013;original draft, and writing&#x2013;review and editing. PC: funding acquisition, supervision, and writing&#x2013;review and editing. LL: supervision and writing&#x2013;review and editing. CC: conceptualization, supervision, and writing&#x2013;review and editing.</p>
</sec>
<sec sec-type="funding-information" id="s7">
<title>Funding</title>
<p>The author(s) declare that no financial support was received for the research, authorship, and/or publication of this article.</p>
</sec>
<ack>
<p>The authors thank the French National Research Agency (ANR) for funding through the Gluconic project (grant no. ANR-20-CE43-0005).</p>
</ack>
<sec sec-type="COI-statement" id="s8">
<title>Conflict of interest</title>
<p>The authors declare that the research was conducted in the absence of any commercial or financial relationships that could be construed as a potential conflict of interest.</p>
</sec>
<sec sec-type="disclaimer" id="s9">
<title>Publisher&#x2019;s note</title>
<p>All claims expressed in this article are solely those of the authors and do not necessarily represent those of their affiliated organizations, or those of the publisher, the editors, and the reviewers. Any product that may be evaluated in this article, or claim that may be made by its manufacturer, is not guaranteed or endorsed by the publisher.</p>
</sec>
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